I'm not "anti car" per se, what with having a 331 stroker V8 in my Volvo wagon, however I took the plates off it a couple of years ago, not just because of the cost, but for the fact that I realized how much more I enjoyed cycling.
If there were some kind of car free nirvana that I could move to, I'd be all for it; even here on the "wet coast" of BC, most people just use their cars as glorified wheelchairs. Sometimes, of course, cars are very useful, so I think just having a separate network might work better, but not a greenway that intersects every driveway and cross street.
The residential areas where I live feel a lot safer than the main roads, due to lower speeds, and the labyrinth layouts. The layout of the streets make cycling any distance difficult too, however.